Create buttons and interactivity in HTML

Sure, the handbag configurator's buttons are made with a simple circular mesh set to "Billboard->Spherical", and their material is set to "Shadeless". They are not anchors and they are not "rendered above all" since they can disappear behind the object.

Their "animation" effects (upon clicking) are a color inversion/texture change and a size change. This can be done with scripting or with the Logic Nodes "Set Shader Node Param/Inherit Material" and "Transform", respectively.

Personally, I don't like those particular buttons because it is never obvious which one is active and the white outline disappears on the white background.